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Finding the Fourth Proportional to 303.60, 455.42 and 166.71

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Solution

The fourth proportional to 303.60, 455.42 and 166.71 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 455.42 = 166.71 : x
  2. Step 2: Convert to fraction form
    303.60/455.42 = 166.71/x
  3. Step 3: Cross multiply
    303.60x = 455.42 × 166.71
  4. Step 4: Simplify right side
    303.60x = 75,923.07
  5. Step 5: Solve for x
    x = 75,923.07/303.60
  6. Step 6: Final answer
    x = 250.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.